We prove the non-uniqueness of weak solutions to the generalized MHD equations (REF ),
for the exponents \({\alpha }_1, {\alpha }_2\)  less than the sharp Lions exponent \(5/4\) .
The constructed weak solutions
can be close to the given divergence-free, mean-free velocity and magnetic fields.
In particular,
the weak solutions
live in the space \(L^\gamma _tW^{s,p}_x\) 
with \(0\le s< {2}/{p}+ {1}/{\gamma }- 3/2\) , \(1\le p,\gamma <+{\infty }\) ,
and do not conserve the magnetic helicity.
Thus, this provides more examples of weak solutions
with the above regularity \(L^\gamma _tW^{s,p}_x\)  for the flexible part of
the Onsager-type conjecture for the ideal MHD in [1]}
.
